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Finding the Fourth Proportional to 312,081.82, 468,122.80 and 75,424.47

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Solution

The fourth proportional to 312,081.82, 468,122.80 and 75,424.47 is: 113,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,081.82 : 468,122.80 = 75,424.47 : x
  2. Step 2: Convert to fraction form
    312,081.82/468,122.80 = 75,424.47/x
  3. Step 3: Cross multiply
    312,081.82x = 468,122.80 × 75,424.47
  4. Step 4: Simplify right side
    312,081.82x = 35,307,914,084.92
  5. Step 5: Solve for x
    x = 35,307,914,084.92/312,081.82
  6. Step 6: Final answer
    x = 113,136.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.